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19312080 = 2435671201
BaseRepresentation
bin100100110101…
…0110111010000
31100100011012020
41021222313100
514420441310
61525531440
7323102304
oct111526720
940304166
1019312080
11a9a04a7
126573b80
134002288
1427c9d04
151a67170
hex126add0

19312080 has 80 divisors (see below), whose sum is σ = 60811584. Its totient is φ = 5068800.

The previous prime is 19312079. The next prime is 19312081. The reversal of 19312080 is 8021391.

It is an interprime number because it is at equal distance from previous prime (19312079) and next prime (19312081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 19312080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19312081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15480 + ... + 16680.

Almost surely, 219312080 is an apocalyptic number.

19312080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30405792).

19312080 is an abundant number, since it is smaller than the sum of its proper divisors (41499504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19312080 is a wasteful number, since it uses less digits than its factorization.

19312080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 19312080 is about 4394.5511716215. The cubic root of 19312080 is about 268.2932114268.

The spelling of 19312080 in words is "nineteen million, three hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1201 1340 1608 2010 2402 2680 3216 3603 4020 4804 5360 6005 7206 8040 9608 12010 14412 16080 18015 19216 24020 28824 36030 48040 57648 72060 80467 96080 144120 160934 241401 288240 321868 402335 482802 643736 804670 965604 1207005 1287472 1609340 1931208 2414010 3218680 3862416 4828020 6437360 9656040 19312080